A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period. The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years.

white-sided jackrabbits: 5.5x² - 9.2x + 6.9

black-tailed jackrabbits: 5.5x² + 9.9x + 1.3

What polynomial models the total number of white-sided and black-tailed jackrabbits?

11x² + 0.7x + 8.2

11x² - 0.7x + 8.2

11x² - 0.7x - 8.2

-11x² + 0.7x - 8.2

Question

Biology

Nia

15 November, 09:08

A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period. The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years.

white-sided jackrabbits: 5.5x² - 9.2x + 6.9

black-tailed jackrabbits: 5.5x² + 9.9x + 1.3

What polynomial models the total number of white-sided and black-tailed jackrabbits?

11x² + 0.7x + 8.2

11x² - 0.7x + 8.2

11x² - 0.7x - 8.2

-11x² + 0.7x - 8.2

+5

Answers (1)

Know the Answer?

Darnell Forbes · Answer 1

The answer is 11x² + 0.7x + 8.2

Total number of white-sided and black-tailed jackrabbits is the sum of their polynomials:

5.5x² - 9.2x + 6.9 + 5.5x² + 9.9x + 1.3 = 5.5x² + 5.5x² - 9.2x + 9.9x + 6.9 + 1.3 =

= 11x² + 0.7x + 8.2